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2 years ago

Simplify, using the distributive property and then combining like terms. 5(3a+b)−2(3a+b)

Mathematics

2 answers:

creativ13 [48]2 years ago

8 0

Answer:

9a + 3b

Step-by-step explanation:

Given

5(3a + b) - 2(3a + b) ← distribute both parenthesis

= 15a + 5b - 6a - 2b ← collect like terms

= 9a + 3b

FinnZ [79.3K]2 years ago

5 0

Answer:

The final answer would be $9a + 3b$ .

Step-by-step explanation:

Solve the following equation:

$5(3a+b)-2(3a+b)$

Use <u>Distributive Property</u>:

$5(3a+b)-2(3a+b)$

$15a + 5b - 6a - 2b$

-Combine $15a$ and $6a$ :

$15a + 5b - 6a - 2b$

$9a + 5b - 2b$

-Combine $5b$ and $-2b$ :

$9a + 5b - 2b$

$9a + 3b$

So, the answer is $9a + 3b$ .

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castortr0y [4]

9514 1404 393

Answer:

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Step-by-step explanation:

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2 years ago

A button machine produces one button in 0.15 seconds. How many buttons are produced in 48.6 seconds? 48.6 divided by 0.15 Multip

Kobotan [32]

Answer

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✔ 100

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3 years ago

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Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

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3 years ago

Explain how the value of the 7 in 327,902 will change if you move it to the tens place

-BARSIC- [3]

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3 years ago

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Marta_Voda [28]

Answer:

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Step-by-step explanation:

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3 years ago

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